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3 years ago

PLEASE HELP THIS IS DUE TODAY

Mathematics

1 answer:

dimaraw [331]3 years ago

7 0

Answer:

Step-by-step explanation:

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which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

2) Find the vertex

The vertex of the function is the point $(-3,-13)$

3) Find the axis of symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

5) Find the x-intercepts of the function

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

The function cross the x-axis twice

see the attached figure

5 0

4 years ago

Read 2 more answers

What is the quotient of 2/3 : 4 in simplest form?

weeeeeb [17]

Answer:

1/6

Step-by-step explanation:

2/3 divided by 4= 2/3 x 1/4

2/3 x 1/4=2/12

2/12 simplifies to 1/6

4 0

3 years ago

Help pls :)) much appreciated

Ahat [919]

Answer:

9,-7 hope this helps :))))))))

6 0

3 years ago

Select whether the equation has a solution or not. - 16x+ 1 -5 = -7 - 1/3x+ 1

Lera25 [3.4K]

Answer:

The equation does have a solution

x= 6/47

Step-by-step explanation:

❤️Hope This Helps❣️

8 0

4 years ago

1. At the gym on Monday, Larry is told to up his weight on the bench-press by 15% from last week. Last week he was bench-pressin

QveST [7]

Answer:

300 lbs

Step-by-step explanation:

We know that Larry bench pressed 200 lbs last week, and that he is supposed to increase by 15%. We know that any number times one is that same numbers. That means a number that is increaseing has to be greater than 1. So, we have to convert 15% into a decimal. That is 0.15. That plus one is 1.15. Now we just have to multiply 1.15 with 200. We get 300.

3 0

2 years ago